Using SAGBI bases to compute invariants

Authors
Stillman, M Tsai, H
Citation
M. Stillman et H. Tsai, Using SAGBI bases to compute invariants, J PURE APPL, 139(1-3), 1999, pp. 285-302
Citations number
17
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF PURE AND APPLIED ALGEBRA
ISSN journal
00224049 → ACNP
Volume
139
Issue
1-3
Year of publication
1999
Pages
285 - 302
Database
ISI
SICI code
0022-4049(19990617)139:1-3<285:USBTCI>2.0.ZU;2-1
Abstract
We extend SAGBI basis theory to quotient rings and explain how the quotient ring SAGBI algorithm can be used to compute invariants. By an investigatio n of monomial subalgebras in quotients by binomial ideals, the algorithm is shown to terminate for computing invariants of the action of a torus or a finite abelian group. (C) 1999 Published by Elsevier Science B.V. All right s reserved.